41640192 has 216 divisors, whose sum is σ = 137749248. Its totient is φ = 11980800.

The previous prime is 41640127. The next prime is 41640251. The reversal of 41640192 is 29104614.

41640192 is a `hidden beast` number, since 4 + 1 + 640 + 19 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785638 + ... + 785690.

It is an arithmetic number, because the mean of its divisors is an integer number (637728).

Almost surely, 2^41640192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874624).

41640192 is an abundant number, since it is smaller than the sum of its proper divisors (96109056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41640192 is a wasteful number, since it uses less digits than its factorization.

41640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 41640192 is about 6452.9211989610. The cubic root of 41640192 is about 346.6071955839.

The spelling of 41640192 in words is "forty-one million, six hundred forty thousand, one hundred ninety-two".